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12300326225704 = 23111747210336137
BaseRepresentation
bin1011001011111110010010…
…0100110100011100101000
31121112220021212212010002001
42302333210210310130220
53103012032003210304
642054405235220344
72406445356553246
oct262774444643450
947486255763061
1012300326225704
113a125a2538320
121467a764476b4
136b2bb9c9c34a
143074a619d796
15164e5e06dda4
hexb2fe4934728

12300326225704 has 192 divisors, whose sum is σ = 27483625503360. Its totient is φ = 5100067368960.

The previous prime is 12300326225701. The next prime is 12300326225723. The reversal of 12300326225704 is 40752262300321.

12300326225704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12300326225701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340362324 + ... + 340398460.

It is an arithmetic number, because the mean of its divisors is an integer number (143143882830).

Almost surely, 212300326225704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300326225704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741812751680).

12300326225704 is an abundant number, since it is smaller than the sum of its proper divisors (15183299277656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12300326225704 is a wasteful number, since it uses less digits than its factorization.

12300326225704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36368 (or 36317 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 12300326225704 in words is "twelve trillion, three hundred billion, three hundred twenty-six million, two hundred twenty-five thousand, seven hundred four".